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Tests of the radial Tremaine-Weinberg method

Sharon Meidt van der Wel (UGent) , Richard J Rand, Michael R Merrifield, Victor P Debattista and Juntai Shen
(2008) ASTROPHYSICAL JOURNAL. 676(2). p.899-919
Author
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Abstract
At the intersection of galactic dynamics, evolution, and global structure, issues such as the relation between bars and spirals and the persistence of spiral patterns can be addressed through the characterization of the angular speeds of the patterns and their possible radial variation. The radial Tremaine-Weinberg (TWR) method, a generalized version of the Tremaine-Weinberg method for observationally determining a single, constant pattern speed, allows the pattern speed to vary arbitrarily with radius. Here we perform tests of the TWR method with regularization on several simulated galaxy data sets. The regularization is employed as a means of smoothing intrinsically noisy solutions, as well as for testing model solutions of different radial dependence (e. g., constant, linear, or quadratic). We test these facilities in studies of individual simulations and demonstrate successful measurement of both bar and spiral pattern speeds in a single disk, secondary bar pattern speeds, and spiral winding (in the first application of a TW calculation to a spiral simulation). We also explore the major sources of error in the calculation and find uncertainty in the major-axis position angle most dominant. In all cases, the method is able to extract pattern speed solutions where discernible patterns exist to within 20% of the known values, suggesting that the TWR method should be a valuable tool in the area of galactic dynamics. For utility, we also discuss the caveats in, and compile a prescription for, applications to real galaxies.
Keywords
MULTIPLE PATTERN SPEEDS, BARRED GALAXIES, DYNAMICAL FRICTION, GRAND, DESIGN, SPIRAL MODES, DARK-MATTER, CONSTRAINTS, KINEMATICS, NGC-2950, NGC-6946, galaxies : kinematics and dynamics, galaxies : spiral, galaxies : structure, methods : numerical

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MLA
van der Wel, Sharon Meidt, et al. “Tests of the Radial Tremaine-Weinberg Method.” ASTROPHYSICAL JOURNAL, vol. 676, no. 2, 2008, pp. 899–919, doi:10.1086/527530.
APA
van der Wel, S. M., Rand, R. J., Merrifield, M. R., Debattista, V. P., & Shen, J. (2008). Tests of the radial Tremaine-Weinberg method. ASTROPHYSICAL JOURNAL, 676(2), 899–919. https://doi.org/10.1086/527530
Chicago author-date
Wel, Sharon Meidt van der, Richard J Rand, Michael R Merrifield, Victor P Debattista, and Juntai Shen. 2008. “Tests of the Radial Tremaine-Weinberg Method.” ASTROPHYSICAL JOURNAL 676 (2): 899–919. https://doi.org/10.1086/527530.
Chicago author-date (all authors)
van der Wel, Sharon Meidt, Richard J Rand, Michael R Merrifield, Victor P Debattista, and Juntai Shen. 2008. “Tests of the Radial Tremaine-Weinberg Method.” ASTROPHYSICAL JOURNAL 676 (2): 899–919. doi:10.1086/527530.
Vancouver
1.
van der Wel SM, Rand RJ, Merrifield MR, Debattista VP, Shen J. Tests of the radial Tremaine-Weinberg method. ASTROPHYSICAL JOURNAL. 2008;676(2):899–919.
IEEE
[1]
S. M. van der Wel, R. J. Rand, M. R. Merrifield, V. P. Debattista, and J. Shen, “Tests of the radial Tremaine-Weinberg method,” ASTROPHYSICAL JOURNAL, vol. 676, no. 2, pp. 899–919, 2008.
@article{8622913,
  abstract     = {{At the intersection of galactic dynamics, evolution, and global structure, issues such as the relation between bars and spirals and the persistence of spiral patterns can be addressed through the characterization of the angular speeds of the patterns and their possible radial variation. The radial Tremaine-Weinberg (TWR) method, a generalized version of the Tremaine-Weinberg method for observationally determining a single, constant pattern speed, allows the pattern speed to vary arbitrarily with radius. Here we perform tests of the TWR method with regularization on several simulated galaxy data sets. The regularization is employed as a means of smoothing intrinsically noisy solutions, as well as for testing model solutions of different radial dependence (e. g., constant, linear, or quadratic). We test these facilities in studies of individual simulations and demonstrate successful measurement of both bar and spiral pattern speeds in a single disk, secondary bar pattern speeds, and spiral winding (in the first application of a TW calculation to a spiral simulation). We also explore the major sources of error in the calculation and find uncertainty in the major-axis position angle most dominant. In all cases, the method is able to extract pattern speed solutions where discernible patterns exist to within 20% of the known values, suggesting that the TWR method should be a valuable tool in the area of galactic dynamics. For utility, we also discuss the caveats in, and compile a prescription for, applications to real galaxies.}},
  author       = {{van der Wel, Sharon Meidt and Rand, Richard J and Merrifield, Michael R and Debattista, Victor P and Shen, Juntai}},
  issn         = {{0004-637X}},
  journal      = {{ASTROPHYSICAL JOURNAL}},
  keywords     = {{MULTIPLE PATTERN SPEEDS,BARRED GALAXIES,DYNAMICAL FRICTION,GRAND,DESIGN,SPIRAL MODES,DARK-MATTER,CONSTRAINTS,KINEMATICS,NGC-2950,NGC-6946,galaxies : kinematics and dynamics,galaxies : spiral,galaxies : structure,methods : numerical}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{899--919}},
  title        = {{Tests of the radial Tremaine-Weinberg method}},
  url          = {{http://dx.doi.org/10.1086/527530}},
  volume       = {{676}},
  year         = {{2008}},
}
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